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Finding the Fourth Proportional to 656.41, 983.92 and 309.45

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Solution

The fourth proportional to 656.41, 983.92 and 309.45 is: 463.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    656.41 : 983.92 = 309.45 : x
  2. Step 2: Convert to fraction form
    656.41/983.92 = 309.45/x
  3. Step 3: Cross multiply
    656.41x = 983.92 × 309.45
  4. Step 4: Simplify right side
    656.41x = 304,474.04
  5. Step 5: Solve for x
    x = 304,474.04/656.41
  6. Step 6: Final answer
    x = 463.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.